# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1066518432:0147
# Permalink to this reading: https://leibnizlegible.com/page/1066518432:0147?run=74
# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 119, page id 1066518432:0147
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1066518432&page=147
# Source image: https://digitale-sammlungen.gwlb.de/content/1066518432/jpgs/default/00000147.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 60 lines, status machine
# Lines: 60 recognised, mean confidence 0.83
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

C.
2
II
11.
e
Or-
ce
et
ed
A=
B
Av.
A
A=
D0
Cn
IM
de
et
ce
OI.
al
0.
DE VIRTBUS ET MIOTEDUS CORPORUM. LIB. I. FF9
C OR OE L A R T U M IV.
229. Generaliter, (i corpora A, B dicantur m, n, eorum reloci-
tates proprix ante occurtum u ex r, invenietur Da celeritas corpo-
ris A Post contlictum = (mu = nu + 2nr): m L n, = U, + (11 - r). 2n:
m. +n, _ Db vel celeritas corporis B post conflictum = (2mu +
mr =nr): m = n, = Y, + (1 = Y). 2m: m + n. IIx exprestiones clicitxe
Tunt ex debitis substitutionibus ralorum linearum CD, AC ec BC
in exprestionibus Corollarii I. Da =OD - AC, e Db =CD + CB,
Pro calu, quo mobilia ante concurlum ad easdem PartES MOTENEUI.
Formulae pro altero calu corporum ex oppositis partibus in le mu-
cuo irruentium ex hisce jam extribitis elicientur mutando duntaxat
signa quibus litera r affecta est, eritque Da = u, + (W = Y). 2n: M + n,
ec Db = = Y, + (1 + Y). M + B.
PROPOSTTIOXLTI THEOREMA.
230. Corpus R celeritate AD latum interventu corporis medii Z
eandem corpori quiescenti B velocitatem dabit, quam interventu alte-
rius cujusdam corporis medii Z, si ipsum impellens a fuerit ad X sicut
alterum Y ad quiescens corpus B.
HIOc eAt, si Corpus A celeritate AD primum in corpus Z irruats
et hoc celeritate ab impellente accepta deinceps incurrat in corpus
quiescens B; dico hoc corpus B eandem celeritatem accepturum,
quam si ab alio corpore V impulsum fuisset celeritate ca, quam Y
Pariter quiescens à corpore R itidem celeritate AD ipsi OcCurren
te accepisset, existente scilicet A ad Z ut Y ad B. VF propoitum
demonstretur, constructio Propolitionis XL. eAt geminanda, et pro
utroque corpore intermedio Z et Y scortim ponenda: propterca
Reura, in qua linea majusculis lieteris signantur, respicit corpus in-
termedium X, ec quae iisdem, sed minusculis literis notantuF, perti-
nent ad figuram corporis alterius intermedii Y,
Jam Cx 5. 227. constat corpus X accepturum ab impellento A cC
leritatem DB duplam ipsius CD, existente C centro graritatis cOr-
Porum A, X, atque adeo AC ad CD in ratione corporis Z ad COr-
DuS A; ac dirisa DB in puncto F, ita UE DE SIE ad E B SICUE COr-
Dus B ad medium X, mobile Z daturum alteri quiescenti B, in quod
impingat relocitate DB, celeritatem duplam ipsius E. B. Similis
COrm